TS EAMCET · Physics · Current Electricity
If the masses of three wires of same material are in the ratio of \(1: 2: 3\) and their lengths are in the ratio of \(3: 2: 1\), then electrical resistances of these wires are in the ratio
- A \(1: 1: 1\)
- B \(1: 2: 3\)
- C \(9: 4: 1\)
- D \(27: 6: 1\)
Answer & Solution
Correct Answer
(D) \(27: 6: 1\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathrm{R}=\frac{\rho \mathrm{L}}{\mathrm{A}} \quad(\because \mathrm{V}=\mathrm{AL}) \\ & =\frac{\rho \mathrm{L}^2}{\mathrm{~V}} \quad \because \mathrm{d}=\frac{\mathrm{m}}{\mathrm{v}}=\frac{\rho \mathrm{L}^2}{\mathrm{~m}} \\ & \mathrm{R} \propto…
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